Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dr |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
261120000 = 213 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-442008,112960788] |
[a1,a2,a3,a4,a6] |
j |
3730569358698025/102 |
j-invariant |
L |
3.681282240095 |
L(r)(E,1)/r! |
Ω |
0.92032056002375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550f1 81600hd1 61200hi1 20400ci2 |
Quadratic twists by: -4 8 -3 5 |